polynomial

Asked by  | 27th Apr, 2008, 09:23: PM

Expert Answer:

Let α  and  β  be the  zeros of the polynomial  f( x) =  x2  + p x + 45  

then  α  +β  = -p / 1 =p  and αβ  = 45

as per question   (α  -  β )2  =144

  (α  +  β  )2 --  4αβ  =  144

  ( p )2 --  4  *  45  =  144

 p2  =  144 +   180

 p2 = 324

  p = ±  18

Answered by  | 27th Apr, 2008, 11:10: PM

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